Solving Proportions Word Problems

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

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CCSS.7.RP.A.3

Front

What is the formula for finding a missing value in a proportion?

Back

If a/b = c/d, then ad = bc. You can find the missing value by rearranging this equation.

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CCSS.7.RP.A.2C

Front

If 12 ounces of shampoo lasts 16 weeks, how do you find out how long 18 ounces will last?

Back

Set up a proportion: 12/16 = 18/x, then cross-multiply and solve for x.

Tags

CCSS.7.RP.A.3

Front

If a car travels 420 miles in 8 hours, how do you find the distance it will travel in 12 hours?

Back

First, find the rate: 420 miles / 8 hours = 52.5 miles/hour. Then multiply the rate by 12 hours.

Tags

CCSS.6.RP.A.3B

Front

What is the relationship between the number of students with an A and the total number of students in a class?

Back

The ratio of students with an A to the total number of students can be used to find how many students have an A in a larger group.

Front

If 14 sticks of pepperoni are needed for 28 pizzas, how do you find the amount needed for 36 pizzas?

Back

Set up a proportion: 14/28 = x/36, then cross-multiply and solve for x.

Tags

CCSS.7.RP.A.3

Front

How do you calculate the time it takes to travel a certain distance at a constant speed?

Back

Use the formula: time = distance / speed.

Tags

CCSS.6.RP.A.3B

Front

What is the unit rate?

Back

The unit rate is a comparison of two different quantities when they are combined together, expressed as a quantity per one unit.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you use proportions to solve real-world problems?

Back

Proportions can be used to compare ratios and find unknown values in various situations, such as cooking, travel, and classroom scenarios.

Tags

CCSS.7.RP.A.3